Please note! Course description is confirmed for two academic years, which means that in general, e.g. Learning outcomes, assessment methods and key content stays unchanged. However, via course syllabus, it is possible to specify or change the course execution in each realization of the course, such as how the contact sessions are organized, assessment methods weighted or materials used.


After completing this course the student 

1. can formulate a wide variety of optimization problems, which solutions can be used for making better decisions (e.g. allocating resources, selecting routes and assigning tasks), as (mixed integer) linear programming problems, 

2. understands the theoretical foundation of the Simplex algorithm and duality, and knows the special characteristics of network and integer programming problems, and 

3. can solve (mixed integer) linear programming problems using optimization software.

Credits: 5

Schedule: 11.01.2022 - 07.04.2022

Teacher in charge (valid for whole curriculum period):

Teacher in charge (applies in this implementation): Fabricio Pinheiro de Oliveira

Contact information for the course (applies in this implementation):

CEFR level (valid for whole curriculum period):

Language of instruction and studies (applies in this implementation):

Teaching language: English. Languages of study attainment: English


  • valid for whole curriculum period:

    The simplex method and variants, duality for linear programming, introduction to integer programming, and specialised numerical methods. Applications to transportation, process industry, production planning, network design and others.

Assessment Methods and Criteria
  • valid for whole curriculum period:

    Project assignments, homework and exam.

  • valid for whole curriculum period:

    Contact hours: 48h (12 x 2h lectures and 12 x 2h exercises). Attendance is not compulsory.

    Self study: 88h (5 home exercises - 3h each; 2 project assignments - 5h each; remainder for revising content of lectures and exercise sessions and for preparing for the exam)




Study Material
  • valid for whole curriculum period:

    Lecture notes and course slides available at course's MyCourses homepage 

    Additional supplementary bibliography indicated in the lecture notes.

Substitutes for Courses


Further Information
  • valid for whole curriculum period:

    Teaching Period:

    2020-2021 Spring III-IV

    2021-2022 Spring III-IV

    Course Homepage:

    Registration for Courses: In the academic year 2021-2022, registration for courses will take place on Sisu ( instead of WebOodi.